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Mathematics 20 Online
OpenStudy (anonymous):

Evaluate the following limit using the squeeze thereom lim 2xcos2x as x->0

OpenStudy (zarkon):

\[-2|x|\le2x\cos2x\le2|x|\]

OpenStudy (anonymous):

i dont know how to go on

OpenStudy (zarkon):

then you need to review what the squeeze theorem says. It is really easy from here.

OpenStudy (anonymous):

can u explain?

OpenStudy (anonymous):

hwo 2 go on then

OpenStudy (zarkon):

\[\text{you have 3 parts here...take the limit as }x\to 0\text{ of the left and right sides}\] if the limits are the same then the middles term also goes to the same value

OpenStudy (zarkon):

what are ... \[\lim_{x\to 0}-2|x|\] and \[\lim_{x\to 0}\,\,2|x|\]

OpenStudy (anonymous):

1st one is -2 adn teh second one is 2

OpenStudy (zarkon):

no...try again

OpenStudy (anonymous):

well does it exist then

OpenStudy (zarkon):

yes

OpenStudy (anonymous):

i really dont know

OpenStudy (anonymous):

i havent evn learned this thereom yet

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